Answer:
4 units wide
Step-by-step explanation:
Let the width of the table be 'w'
Given:
Perimeter of the table is, [tex]P=72[/tex]
The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.
Length of the table is 8 times longer than its width. Therefore,
[tex]Length,L=8w[/tex]
Now, perimeter is given as:
[tex]P=2L +2w\\P=2(8w)+2w\\P=16w+2w\\P=18w\\w=\frac{P}{18}[/tex]
Now, plug in 72 for 'P' and solve for 'w'. This gives,
[tex]w=\frac{P}{18}\\\\w=\frac{72}{18}\\\\w=4[/tex]
So, the table is 4 units wide.
